Two-layer-liquid and lattice considerations through a (3+1)-dimensional generalized Yu-Toda-Sasa-Fukuyama system

Current studies on the liquids and lattices attract people's attention. In this Letter, for certain interfacial waves in a two -layer liquid or elastic waves in a lattice, we investigate a (3+1)dimensional generalized Yu-Toda-Sasa-Fukuyama system via building a set of the similarity reductions. In respect of the amplitude or elevation of the relevant wave, our similarity reductions are from that system to a known ordinary differential equation, while dependent on the coefficients in that system.